What is the Greatest Common Factor of 43841 and 43848?

Greatest common factor (GCF) of 43841 and 43848 is 7.

GCF(43841,43848) = 7

We will now calculate the prime factors of 43841 and 43848, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43841 and 43848.

How to find the GCF of 43841 and 43848?

We will first find the prime factorization of 43841 and 43848. After we will calculate the factors of 43841 and 43848 and find the biggest common factor number .

Step-1: Prime Factorization of 43841

Prime factors of 43841 are 7, 6263. Prime factorization of 43841 in exponential form is:

43841 = 7¹ × 6263¹

Step-2: Prime Factorization of 43848

Prime factors of 43848 are 2, 3, 7, 29. Prime factorization of 43848 in exponential form is:

43848 = 2³ × 3³ × 7¹ × 29¹

Step-3: Factors of 43841

List of positive integer factors of 43841 that divides 43841 without a remainder.

1, 7, 6263

Step-4: Factors of 43848

List of positive integer factors of 43848 that divides 43841 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 27, 28, 29, 36, 42, 54, 56, 58, 63, 72, 84, 87, 108, 116, 126, 168, 174, 189, 203, 216, 232, 252, 261, 348, 378, 406, 504, 522, 609, 696, 756, 783, 812, 1044, 1218, 1512, 1566, 1624, 1827, 2088, 2436, 3132, 3654, 4872, 5481, 6264, 7308, 10962, 14616, 21924

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43841 and 43848. The biggest common factor number is the GCF number.
So the greatest common factor 43841 and 43848 is 7.

Also check out the Least Common Multiple of 43841 and 43848